Proposed connection between critical exponents and fractal dimensions in the Ising model

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	Proposed connection between critical exponents and fractal dimensions in the Ising model
	Z. D. Zhang; N. H. March
	2012
发表期刊	Journal of Mathematical Chemistry
ISSN	0259-9791
卷号	50 期号:4 页码:920-925
摘要	Scaling properties near the critical point indicates the existence of self-similarity behavior for the critical phenomena. Although the system considered here is not a truly dynamic one, we propose a specific set of relations between fractal dimensions and critical exponents in the Ising model of statistical mechanics. In particular, we put forward, corresponding to six critical exponents for the Ising model, six fractal dimensions. Assuming the latter proposals, we can then derive relationships between such fractal dimensions.
部门归属	[zhang, z. d.] chinese acad sci, shenyang natl lab mat sci, inst met res, shenyang 110016, peoples r china. [zhang, z. d.] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china. [march, n. h.] univ antwerp, dept phys, b-2020 antwerp, belgium. [march, n. h.] univ oxford, oxford, england.;zhang, zd (reprint author), chinese acad sci, shenyang natl lab mat sci, inst met res, 72 wenhua rd, shenyang 110016, peoples r china.;zdzhang@imr.ac.cn
关键词	Critical Exponents Fractal Dimensions The Ising Model Critical Phenomena Critical Region Inequality Lattices Fluids
URL	查看原文
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/60468
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	Z. D. Zhang,N. H. March. Proposed connection between critical exponents and fractal dimensions in the Ising model[J]. Journal of Mathematical Chemistry,2012,50(4):920-925.
APA	Z. D. Zhang,&N. H. March.(2012).Proposed connection between critical exponents and fractal dimensions in the Ising model.Journal of Mathematical Chemistry,50(4),920-925.
MLA	Z. D. Zhang,et al."Proposed connection between critical exponents and fractal dimensions in the Ising model".Journal of Mathematical Chemistry 50.4(2012):920-925.